Okay guys, I know this makes me a geek, but I'm putting up a wiki for the trip, so we can coordinate things. You can post information about apartments here. Below is a link to two of the apartments. Everyone can add to the page. Hopefully this will be helpful!
http://rentals-barcelona.com/eng/piso.php?ref=apart_gran_via-plaza_tetuan_apart.

http://www.visit-bcn.com/inglaterra/opcion_gaudi.htm

If anyone finds anything additional that seems interesting, feel free to add to the page!

GOTHIC quarter:
2 BA AND a balcony/terrace!
1	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+3/id/1467
2	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+4/id/1468	· It’s available · E150 refundable security deposit · E1740 total for the apt. ($447 pp) · Contact: Oakley Johnson oakley@holiday-velvet.com; +44 (0)20 8123 5039
3	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+6/id/1470
4	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+8/id/3190
5	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+5/id/1469
6	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/plaza+real+suite/id/1339
7	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/modernista/id/1347
8	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/chic+gothic/id/1345
9	(i emailed to ask about availability on this one): http://ciudadbarcelona.olx.es/beautiful-flat-for-short-rentals-in-a-gotic-center-of-barcelona-iid-6280685
10	(i emailed to ask about availability on this one): http://www.elsolvillas.com/sov_property.asp?PropertyID=719
11	(i emailed to ask about availability on this one): http://www.apartmentspain.org.uk/info/994/24/280/Barcelona_Apartments_Barcelona.html
12	http://www.desigbarcelona.com/en/apartments/barcelona/gotico/apartment_maremagnum-6/#pos_booking
13	http://www.desigbarcelona.com/en/apartments/barcelona/gotico/apartment_maremagnum-5/#pos_booking
14	http://www.visit-bcn.com/inglaterra/opcion_gaudi.htm	· E1979 ($507 pp) for 9 nights. · Available. · Small balcony in master bedroom; · If you look at pics, there are large double doors that open in front of the dining room. · Tlf. (+34) 93 342 4534 Fax. (+34) 93 315 2066 · info@1st-barcelona.com
				17	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/maremagnum+1/id/1465
BORNE district:
2BA AND BALCONY:
20	(i emailed to ask about availability on this one): http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/viga+antigua/id/3810
21	(i emailed to ask about availability on this one): http://www.travel-library.com/apartments/europe/spain/barcelona/borne_loft.html
22	(i emailed to ask about availability on this one): http://www.elsolvillas.com/sov_property.asp?PropertyID=539
23	(i emailed to ask about availability on this one): http://www.elsolvillas.com/sov_property.asp?PropertyID=722
24	(i emailed to ask about availability on this one): http://www.vacationrentaldirect.com/vacation-rentals/3803.htm	Here is a map of the area: [[|[[|[[|[[|[[|[[|[[|[[|http://www.bcn.es/cgi-guia/guiamap4/cgi-guia/?actives=&scl=4&cnt=31191.59%2C82146.54&plt=31234.54%2C82202.71&plant=capes4a&txt1=&txt2=C.+de+Sant+Pere+M%E9s+Baix%2C+11&idioma=2&grayscl=0&zoom=3&map.x=279&map.y=221]]]]]]]]]]]]]]]] · Availability: http://www.barcelonaluxuryapartment.com/booking-in-barcelona.asp; Apt. is already booked for the 16th only. · There’s an E225 deposit, which is refundable. · For 5-6 people it’s E200/night ($460 pp for 9 nights) · Has 3 bedrooms and 3 bathrooms · 2 small balconies off of the living room · mail@barcelonaluxuryapartment.com
2BA - not sure about balcony...there's a pool:
25	(i emailed to ask about availability on this one): http://www.elsolvillas.com/sov_property.asp?PropertyID=527
Terrace/balcony but only 1 BA:
28	http://www.desigbarcelona.com/en/apartments/barcelona/borne/apartment_picasso-1/#pos_booking
29	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/picasso+3/id/1462
30	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/picasso+4/id/1463
31	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/picasso+5/id/1464	· Available · E150 refundable deposit · E1650 ($424 pp) · Note: it’s a shared roof terrace · Contact: Oakley Johnson oakley@holiday-velvet.com; +44 (0)20 8123 5039
32	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/picasso+1/id/1451
33	http
34	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/borne+grande/id/435
35	http://www.holiday-velvet.com/barcelona/barcelona_apartments/details/casa+mediterana/id/3807
36	http://www.oh-barcelona.com/en/accomm_descr_short/refnr_523323/
RAMBLAS: 2BA + huge terrace
39	(i emailed to ask about availability on this one): http://www.vacationrentaldirect.com/vacation-rentals/8947.htm	Not available
THESE ARE OUR BACKUP LIST IN THE EIXAMPLE DISTRICT: all have a/c, terrace/balcony and TWO bathrooms
40 **	http://www.habitatapartments.com/reserva_consulta.php?idioma=en&ini_dd=16&ini_yyyymm=2008-08&fin_dd=25&fin_yyyymm=2008-08&n_habitaciones=&n_adultos=6&n_ninyos=0&n_bebes=0&accion=buscar&id_apartamento From this list...we like the following apts: valencia 22, silica 34, silica 42, and silica 31